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Finding the Fourth Proportional to 225.64, 339.73 and 205.75

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Solution

The fourth proportional to 225.64, 339.73 and 205.75 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.64 : 339.73 = 205.75 : x
  2. Step 2: Convert to fraction form
    225.64/339.73 = 205.75/x
  3. Step 3: Cross multiply
    225.64x = 339.73 × 205.75
  4. Step 4: Simplify right side
    225.64x = 69,899.45
  5. Step 5: Solve for x
    x = 69,899.45/225.64
  6. Step 6: Final answer
    x = 309.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.